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Finding the Fourth Proportional to 23,523.91, 32,462.99 and 12,914.22

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Solution

The fourth proportional to 23,523.91, 32,462.99 and 12,914.22 is: 17,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.91 : 32,462.99 = 12,914.22 : x
  2. Step 2: Convert to fraction form
    23,523.91/32,462.99 = 12,914.22/x
  3. Step 3: Cross multiply
    23,523.91x = 32,462.99 × 12,914.22
  4. Step 4: Simplify right side
    23,523.91x = 419,234,194.72
  5. Step 5: Solve for x
    x = 419,234,194.72/23,523.91
  6. Step 6: Final answer
    x = 17,821.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.